Momentum-energy tensor associated to the quasiparticles in anisotropic superconductors

TL;DR

This paper derives a momentum-energy tensor for quasiparticles in anisotropic superconductors using a Lagrangian approach and Noether's theorem, revealing new terms involving the pair potential.

Contribution

It introduces a novel tensor formulation for quasiparticles in anisotropic superconductors, including pair potential effects, extending previous models.

Findings

Derived the momentum-energy tensor from the Lagrangian density.

Identified additional terms involving the pair potential.

Connected quasiparticle dynamics with electromagnetic and pairing effects.

Abstract

From a Lagrangian density for the Bogoliubov de Gennes equations in anisotropic superconductors, we find the momentum-energy tensor associated to the quasiparticles of the system. For this, we make infinitesimal translations on both space and time and we use the Noether's theorem. We prove that beyond to the usual terms associated to the electron-hole dynamic in electromagnetic potentials, appears terms that involves the pair potential and that are obtained from the coupling of the electron-like and hole-like quasiparticles.